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Finding the Third Proportional to 32,950.13 and 77,749.88

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Solution

The third proportional to 32,950.13 and 77,749.88 is: 183,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.13 : 77,749.88 = 77,749.88 : x
  2. Step 2: Convert to fraction form
    32,950.13/77,749.88 = 77,749.88/x
  3. Step 3: Cross multiply
    32,950.13x = 77,749.88 × 77,749.88
  4. Step 4: Simplify right side
    32,950.13x = 6,045,043,062.52
  5. Step 5: Solve for x
    x = 6,045,043,062.52/32,950.13
  6. Step 6: Final answer
    x = 183,460.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.